If the midpoint of segment ab is m(1,-3) and b(5,-10), find the coordinates of point a.

Therefore the required point A(x₁ , y₁)  = A( -3 , 4 )

Step-by-step explanation:

Given:

The midpoint of segment AB is M(1,-3)

and B(5,-10),

Let

point A( x₁ , y₁)  

point B( x₂ , y₂) ≡ (5 , -10)

M(x , y) = (1 , -3 )

To Find:

point A( x₁ , y₁)  = ?

Solution:

M is the midpoint of segment AB.    {Given}

BY Mid point Formula we have

Substituting the given values in above equation we get

Therefore the required point A(x₁ , y₁)  = A( -3 , 4 )

a

b

d

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17